The Reds battled back from twice going behind to take the three points when Javier Hernandez headed in Patrice Evra's excellent cross.
In an exclusive interview with MUTV, the manager paid tribute to David De Gea and substitutes Adnan Januzaj, Antonio Valencia and Hernandez.
"I was going to say that I hope it was the first of many [comebacks]," he laughed. "Still, I’d rather have a late comeback than a defeat.
"I thought that we kept going, we tried everything today. We made mistakes and our goalkeeper kept us in the game at times today, but we kept knocking and that door trying to find a way through and eventually we did do.
"Stoke should have scored more in the first half, but our goalkeeper was fantastic. That’s his job, to keep them out and he’s had another good performance today. However, I’m really disappointed that we conceded two today. I thought we gave the ball away too much and didn’t defend well enough, but the team’s effort, to make sure we got back in the game, was terrific.
"Some people say that I don’t do that [make risky changes] but I do, I’m a coach and I want to win games. You try and influence the game and make the right changes,